using the calculator 3.2 residuals and the least-squares regression line
TRANSCRIPT
USING THE CALCULATOR3.2 Residuals and the Least-Squares Regression Line
Using the Calculator – TI Series – p. 146Team Average Points
Per GameWins
Alabama 34.8 12
Arkansas 36.8 11
Auburn 25.7 8
Florida 25.5 7
Georgia 32.0 10
Kentucky 15.8 5
Louisiana State 35.7 13
Mississippi 16.1 2
Mississippi State 25.3 7
South Carolina 30.1 11
Tennessee 20.3 5
Vanderbilt 26.7 6
• STAT Edit• Enter data.
• x-variable in L1• y-variable in L2
Using the Calculator – TI Series – p. 146
• STAT PLOT CALC• ↓ 8: LinReg(a+bx)• Press Enter
• L1: 2nd , press 1 • L2: 2nd, press 2 • Y1: VARS Y-VARS ↓
1: Function, Select 1: Y1
Using the Calculator – TI Series – p. 146
So the LSRL is:
• Press Enter • Press Y=• Make sure Plot 1 is On with
L1 & L2 for the x- and y-list
Using the Calculator – TI Series – p. 146
• Zoom 9 to graph • Press Trace.• Going ← and → will help
you jump from point to point• Going ↑ and ↓ helps you
jump from the points to the line
Using the Calculator – TI Series – p. 146
• Press 2nd List (STAT button)
• Select 7:RESID
• Go to STAT PLOT• Go to Ylist
To get the residual plot: *Note: You must have completed the previous steps for this to work.
Using the Calculator – TI Series – p. 146
• Zoom 9 to graph
To get the residual plot:
Using the Calculator – HP Prime – p. 146Team Average
Points Per Game
Wins
Alabama 34.8 12
Arkansas 36.8 11
Auburn 25.7 8
Florida 25.5 7
Georgia 32.0 10
Kentucky 15.8 5
Louisiana State 35.7 13
Mississippi 16.1 2
Mississippi State 25.3 7
South Carolina 30.1 11
Tennessee 20.3 5
Vanderbilt 26.7 6
• Enter data • x-variable in C1• y-variable in C2
Using the Calculator – HP Prime – p. 146
• Press Plot• Press Menu, then Fit to get
the line
• Press Symb• First box is x-variable (C1),
Second box is y-variable (C2)• Make sure it says linear• Fit 1 should have M*X+B
Using the Calculator – HP Prime – p. 146
• Go back go SYMB• Check out the equation
***NOTE: We would switch the equation around to be a + bx.
So the LSRL is:
Using the Calculator – HP Prime – p. 146
• Go to the Home Screen• Press the toolbox • Select App on the screen, go ↑
to Statistics 2Var → to 3 Resid• Press Enter
To get residual plot:
• Type S1 (for Scatterplot 1), Sto► (bottom right corner of screen), then C3
• Press Enter
Using the Calculator – HP Prime – p. 146
• Go to Numerical View• Residuals are listed in C3
To get residual plot:
• Go to Symbolic View• Uncheck S1• Use S2 with C1 as the x and C3
as the y
Using the Calculator – HP Prime – p. 146
• Press Plot• Press Menu (soft key on screen)
and scroll to autoscale for better view
To get residual plot: